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Finding the Third Proportional to 163,228.50 and 359,556

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Solution

The third proportional to 163,228.50 and 359,556 is: 792,021.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,228.50 : 359,556 = 359,556 : x
  2. Step 2: Convert to fraction form
    163,228.50/359,556 = 359,556/x
  3. Step 3: Cross multiply
    163,228.50x = 359,556 × 359,556
  4. Step 4: Simplify right side
    163,228.50x = 129,280,517,136
  5. Step 5: Solve for x
    x = 129,280,517,136/163,228.50
  6. Step 6: Final answer
    x = 792,021.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.